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Topics referred to by the same term
mathematics, a transition function may refer to: a transition map between two charts of an atlas of a manifold or other topological space the function that defines
Transition_function
Mathematical model of computation
state-transition function: δ : S × Σ → S {\displaystyle \delta :S\times \Sigma \rightarrow S} ; ω {\displaystyle \omega } is the output function. If the
Finite-state_machine
Mathematical function having a characteristic S-shaped curve or sigmoid curve
is also the Heaviside step function, which instantaneously transitions between 0 and 1. A wide variety of sigmoid functions including the logistic and
Sigmoid_function
Smooth and compactly supported function
supported bump function can be obtained by multiplying a rising transition by a falling transition. For real numbers a < b ≤ c < d, the function R ∋ x ↦ g
Bump_function
Collection of random variables
a sample function of a stochastic process X {\displaystyle X} is a continuous function of t ∈ T {\displaystyle t\in T} ; a sample function of a stochastic
Stochastic_process
Concept in theoretical computer science
alphabet is {0, 1}, with 0 serving as the blank symbol. The machine's transition function takes two inputs: the current non-Halt state, the symbol in the current
Busy_beaver
Computation model defining an abstract machine
\rightharpoonup Q\times \Gamma \times \{L,R\}} is a partial function called the transition function, where L is left shift, R is right shift. If δ {\displaystyle
Turing_machine
Mathematical parametrization of vector spaces by another space
-valued function g U V : U ∩ V → GL ( k ) . {\displaystyle g_{UV}\colon U\cap V\to \operatorname {GL} (k).} These are called the transition functions (or
Vector_bundle
by the transition function. The model is usually referred to as the STAR(p) models proceeded by the letter describing the transition function (see below)
STAR_model
Type of finite-state machine in automata theory
string w {\displaystyle w} , the machine will transition from state to state according to the transition function δ {\displaystyle \delta } . The last condition
Nondeterministic finite automaton
Nondeterministic_finite_automaton
Indicator function of positive numbers
respectively. Approximations to the Heaviside step function could be made through Smooth transition function like 1 ≤ m → ∞ {\displaystyle 1\leq m\to \infty
Heaviside_step_function
Random process independent of past history
{\displaystyle (P_{t})_{t\geq 0}} the transition semigroup of the process. Transition functions are generalizations of the transition matrices used in the setting
Markov_chain
Mathematical functions which are smooth but not analytic
In real analysis, a smooth function is infinitely differentiable at each point in its domain, while a real analytic function is, at each point in its domain
Non-analytic_smooth_function
Topological space that locally resembles Euclidean space
{1-a^{2}}}\right)\\&={\sqrt {1-a^{2}}}\end{aligned}}} Such a function is called a transition map. The top, bottom, left, and right charts do not form the
Manifold
Set of charts that describes a manifold
notion of tangent vectors and then directional derivatives. If each transition function is a smooth map, then the atlas is called a smooth atlas, and the
Atlas_(topology)
Topics referred to by the same term
Look up transition, transitate, transitional, transitionally, or transitions in Wiktionary, the free dictionary. Transition or transitional may refer
Transition
Possibility of a consistent definition of "clockwise" in a mathematical space
the transition function is said to be orientation preserving. An oriented atlas on M {\displaystyle M} is an atlas for which all transition functions are
Orientability
Finite-state machine
defines at most one transition for each state and each input symbol; the transition function is allowed to be partial. When no transition is defined, such
Deterministic finite automaton
Deterministic_finite_automaton
it includes the probability of a given transition into the transition function, turning it into a transition matrix. Thus, the probabilistic automaton
Probabilistic_automaton
Study of abstract machines and automata
makes a transition (or jump) to another state, according to its transition function, which takes the previous state and current input symbol as its arguments
Automata_theory
Concept in computer science
logically reversible if the transition function that maps old computational states to new ones is a one-to-one function; i.e. the output logical states
Reversible_computing
Continuous surjection satisfying a local triviality condition
corresponding action on F is smooth and the transition functions are all smooth maps. The transition functions t i j {\displaystyle t_{ij}} satisfy the following
Fiber_bundle
Finite-state machine whose output values are determined only by its current state
finite set called the output alphabet Λ {\displaystyle \Lambda } A transition function δ : S × Σ → S {\displaystyle \delta :S\times \Sigma \rightarrow S}
Moore_machine
initial states. A set F of transition functions. Each function f in F maps a pair (state,input) to a new state. An objective function g, mapping a state to
Fully polynomial-time approximation scheme
Fully_polynomial-time_approximation_scheme
Mathematical model of computation
second probabilistic transition function. At each step, the Turing machine probabilistically applies either the transition function δ 1 {\displaystyle \delta
Probabilistic_Turing_machine
Automaton which either accepts or rejects infinite inputs
rejects infinite inputs. Such a machine has a set of states and a transition function, which determines which state the machine should move to from its
Büchi_automaton
Theoretical model of computation
action to be performed for any given situation. Such a machine has a transition function that, for a given state and symbol under the tape head, specifies
Nondeterministic Turing machine
Nondeterministic_Turing_machine
Model of quantum computation
TM are replaced by pure or mixed states in a Hilbert space; the transition function is replaced by a collection of unitary matrices that map the Hilbert
Quantum_Turing_machine
states, a set Σ called the input alphabet, and a function T: Q × Σ → Q called the transition function. Associated with any semiautomaton is a monoid called
Semiautomaton
Kind of cellular automaton
shape A rule for shifting the partition after each time step A transition rule, a function that takes as input an assignment of states for the cells in
Block_cellular_automaton
Diagram of behavior of finite state systems
describes the state transition caused by an input. This is written mathematically as δ : Q × Σ → Q, so δ (the transition function) in the definition of
State_diagram
Fourth letter in the Greek alphabet
difference for a function. The degree of a vertex in graph theory. The Dirac delta function in mathematics. The transition function in automata. Deflection
Delta_(letter)
Topics referred to by the same term
domain Convolution kernel Stochastic kernel, the transition function of a stochastic process Transition kernel, a generalization of a stochastic kernel
Kernel
Cellular automaton that can be run backwards
part r, each drawn from a finite set of possible values. Define a transition function that sets the left part of a cell to be the left part of its left
Reversible_cellular_automaton
Reversible block cellular automaton
belong to four different 2 × 2 blocks of the previous partition. The transition function for Critters counts the number of live cells in a block, and if this
Critters_(cellular_automaton)
Type of Turing machine
The behavior of a Turing machine M is determined by its transition function. This function can be easily encoded as a string over the alphabet {0, 1}
Universal_Turing_machine
Task of transforming a deterministic finite automaton
} is the set of input symbols, δ {\displaystyle \delta } is the transition function (mapping a state and an input symbol to a set of states), δ ∗ {\displaystyle
DFA_minimization
Stochastic process
"vanishing at infinity" makes no sense. A Feller transition function is a probability transition function associated with a Feller semigroup. A Feller process
Feller_process
Automated planner
conditions that are true in it. Transitions between states are modeled by a transition function, which is a function mapping states into new states that
Stanford Research Institute Problem Solver
Stanford_Research_Institute_Problem_Solver
Type of automaton
many texts the transition relation is replaced by an (equivalent) formalization, where δ {\displaystyle \delta } is the transition function, mapping Q ×
Pushdown_automaton
Hypothetical computing device
{\displaystyle \Gamma ^{k}} . The transition function takes both of these parameters and outputs the three things necessary for a transition: the new state q j ∈ Q
Multitape_Turing_machine
Cellular automaton used to model universal construction
in terms of state-transition function, or rule-set. The neighborhood (a grouping function) is part of the state-transition function, and defines for any
Von Neumann cellular automaton
Von_Neumann_cellular_automaton
Statistical tool to model changing systems
algorithm will estimate the starting probabilities, the transition function, and the observation function of a hidden Markov model. One common use is for speech
Markov_model
Pattern that has no predecessors
the update rule simultaneously to every cell. The transition function of the automaton is the function that maps each configuration to its successor. If
Garden of Eden (cellular automaton)
Garden_of_Eden_(cellular_automaton)
Reproductive structure in flowering plants
the flower forms into a fruit, and the other floral structures die. The function of fruit is to protect the seed and aid in its dispersal away from the
Flower
Fiber bundle
bundle having the same transition functions, but possibly a different fiber. In general it is enough to explain the transition from a bundle with fiber
Associated_bundle
Concept within modeling and systems analysis
state can be distributed exponentially or uniformly. The state transition and output functions of DEVS can also be stochastic. Zeigler proposed a hierarchical
DEVS
Method for making finite automata deterministic
Q is the set of states, Σ is the set of input symbols, T is the transition function (mapping a state and an input symbol to a set of states), q0 is the
Powerset_construction
Negative of a convex function
theory, entropy is a concave function. In the case of thermodynamic entropy, without phase transition, entropy as a function of extensive variables is strictly
Concave_function
Complex vector bundle on a complex manifold
are biholomorphic maps. This is equivalent to requiring that the transition functions t U V : U ∩ V → G L k ( C ) {\displaystyle t_{UV}:U\cap V\to \mathrm
Holomorphic_vector_bundle
Class of numerical methods in scientific computing
result of the state transition function. The state transition function is identical for every particle method. The state transition function is defined as S
Particle_method
Constructs a fiber bundle from a base space, fiber and a set of transition functions
group from a given base space, fiber, group, and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are
Fiber bundle construction theorem
Fiber_bundle_construction_theorem
Machine whose output is determined by its state and inputs
finite set called the output alphabet Λ {\displaystyle \Lambda } a transition function T : S × Σ → S {\displaystyle T:S\times \Sigma \rightarrow S} mapping
Mealy_machine
symbol from a finite alphabet, together with a uniform rule called a transition function for updating all cells simultaneously based on the values of neighboring
Surjunctive_group
Necessary condition for optimality associated with dynamic programming
problem. Let the interest r follow a Markov process with probability transition function Q ( r , d μ r ) {\displaystyle Q(r,d\mu _{r})} where d μ r {\displaystyle
Bellman_equation
Maximal smooth atlas for a topological manifold
{\displaystyle M} is an atlas for M {\displaystyle M} such that each transition function is a smooth map, and two smooth atlases for M {\displaystyle M} are
Smooth_structure
alphabet Σ. The transition function takes as its argument a pair of two states and outputs a regular expression (the label of the transition). This differs
Generalized nondeterministic finite automaton
Generalized_nondeterministic_finite_automaton
Concept in differential geometry
the triple products of transition functions of the obstructed spin bundle. Therefore, the triple products of transition functions of the full spinC bundle
Spin_structure
Set of mathematical concepts in quantum gravity
by using transition functions. Because the six-dimensional manifold cannot be covered with a single coordinate system, transition functions are grouped
Quantum_geometry
Physical process of transition between basic states of matter
In physics, chemistry and biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another
Phase_transition
Mathematical description of quantum state
relating transition probabilities to inner products. The Schrödinger equation determines how wave functions evolve over time, and a wave function behaves
Wave_function
Mathematical structure
states and α {\displaystyle \alpha } is the state-transition function. Applying the state-transition function to a state may yield two possible results: either
F-coalgebra
Computer science problem
arranged in a line, such that at each time step each machine transitions to a new state as a function of its previous state and the states of its two neighbors
Firing squad synchronization problem
Firing_squad_synchronization_problem
non-deterministic variant can be defined by replacing the transition function δ {\displaystyle \delta } by a transition relation δ ⊆ ( Q ∖ F × Γ n ) × ( Q × Γ n × {
Multi-track_Turing_machine
Degree of differentiability of a function or map
In mathematical analysis, the smoothness of a function or map describes the extent to which it has derivatives that exist and vary continuously. Given
Smoothness
Study of vector bundles, principal bundles, and fibre bundles
of transition functions the associated bundle can be understood more simply. If the principal bundle P {\displaystyle P} has transition functions g α
Gauge_theory_(mathematics)
A transition is a passage of music composed to link one section of music to another. Transitions often function as a moment of transformation and may
Transition_(music)
Formal constraint in quantum mechanics
\psi _{2}} are the wave functions of the two states, "state 1" and "state 2", involved in the transition, and μ is the transition moment operator. This
Selection_rule
an open covering for M, and the transition functions g i j {\displaystyle g_{ij}} form a cocycle of transition function on M. The associated fibre bundle
Adjoint_bundle
Reversible transition in amorphous materials
The glass–liquid transition, or glass transition, is the gradual and reversible transition in amorphous materials (or in amorphous regions within semicrystalline
Glass_transition
finite set called the alphabet of A. δ: Q × Σ → Q is a function, called the transition function of A. q0 is an element of Q, called the initial state.
Muller_automaton
Computer science concept
of States A set of Inputs A set of Outputs A transition function (Input × State → State) An output function (Input × State → Output) A distinguished State
State_machine_replication
Algorithm that estimates unknowns from a series of measurements over time
the state transition and observation models need not be linear functions of the state but may instead be nonlinear functions. These functions are of differentiable
Kalman_filter
Model for coordination and decision-making among multiple agents
{\displaystyle a_{i}\in A_{i}} , the state updates based on the transition function T ( s , a , s ′ ) {\displaystyle T(s,a,s')} (using the current state
Decentralized partially observable Markov decision process
Decentralized_partially_observable_Markov_decision_process
Mathematical function
In the mathematics of probability, a transition kernel or kernel is a function in mathematics that has different applications. Kernels can for example
Transition_kernel
Manifold upon which it is possible to perform calculus
choice of chart at p. It follows from the chain rule applied to the transition functions between one chart and another that if f is differentiable in any
Differentiable_manifold
Variation of a finite automaton that runs on infinite input
deterministic ω-automaton, which has a transition function δ {\textstyle \delta } , the non-deterministic version has a transition relation Δ {\textstyle \Delta
Ω-automaton
One-dimensional complex manifold
complex charts f {\displaystyle f} and g {\displaystyle g} with transition function h = f ( g − 1 ( z ) ) {\displaystyle h=f(g^{-1}(z))} , h {\displaystyle
Riemann_surface
{\displaystyle \,\delta :Q\times \Sigma \times \Gamma \rightarrow S} is the transition function, where S {\displaystyle \,S} are finite subsets of Q × ( ‡ Γ + )
Embedded_pushdown_automaton
Mechanism for enabling artificial agents to exhibit curiosity
of the environment (learning the transition function) and how best to achieve its goals (learning the reward function). Intrinsic motivation, in contrast
Intrinsic motivation (artificial intelligence)
Intrinsic_motivation_(artificial_intelligence)
→ Q {\displaystyle \delta :Q\times \Sigma \rightarrow Q} is the transition function of A {\displaystyle {\mathcal {A}}} . q 0 {\displaystyle q_{0}} is
Co-Büchi_automaton
Set of problems in computational complexity theory
single transition function (a set of rules for how to proceed at each step of the computation) it probabilistically selects between multiple transition functions
Complexity_class
Formal language concept
is the transition function, which is partitioned into three parts corresponding to call transitions, return transitions, and internal transitions, namely
Nested_word
Theory of continuous phase transitions
associated with the order parameter as a function of the temperature. To further demonstrate that the transition is first-order, one can show that the free
Landau_theory
consists of an "observation function", which maps from the agent's current beliefs to predicted observations, and a "transition function", which maps from current
MANIC (cognitive architecture)
MANIC_(cognitive_architecture)
chart, regardless of the smoothness of the chart itself, then the transition function from that coordinate chart to any harmonic coordinate chart will
Harmonic_coordinates
Computational navigational technique used by robots and autonomous vehicles
sequentially updating the location posteriors, given a map and a transition function P ( x t | x t − 1 ) {\displaystyle P(x_{t}|x_{t-1})} , P ( x t |
Simultaneous localization and mapping
Simultaneous_localization_and_mapping
Type of topological defects in the Yang–Mills vacuum
along a circle linking x. Glue the total space back together with a transition function which is a map from the cut circle to a representation of G. The
Center_vortex
Operation in differential geometry
2-jets is second-order in the coordinate transition functions. We are now prepared to define the jet of a function from a manifold to a manifold. Suppose
Jet_(mathematics)
Form of error in digital signals; spurious signals near sharp transitions
ringing artifacts are artifacts that appear as spurious signals near sharp transitions in a signal. In digital image processing, they appear as bands or "ghosts"
Ringing_artifacts
State machine that may have infinite states
of transition systems, adding a set of fluents F, a set of values V, and a function that maps F × S to V. Binary relation Ternary relation Transition monoid
Transition_system
Mathematical function resembling a boxcar
is the Heaviside step function. As with most such discontinuous functions, there is a question of the value at the transition points, which are usually
Boxcar_function
Function whose actual domain of definition may be smaller than its apparent domain
In mathematics, a partial function f from a set X to a set Y is a function from a subset S of X (possibly the whole X itself) to Y. The subset S, that
Partial_function
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted
Exponential_function
Medical condition
Pancreatic beta cell function (synonyms Gβ or, if calculated from fasting concentrations of insulin and glucose, HOMA-Beta or SPINA-GBeta) is one of the
Pancreatic_beta_cell_function
Symbols for constants, special functions
The transition function in the formal definition of a finite automaton, pushdown automaton, or Turing machine Infinitesimal - see Limit of a function § (ε
Greek letters used in mathematics, science, and engineering
Greek_letters_used_in_mathematics,_science,_and_engineering
Mathematical conjecture
to the power set, and a directed edge describes the action of the transition function. A path from the node of all states to a singleton state shows the
Synchronizing_word
symbolic dynamics". The theorem states that a function from a shift space to itself represents the transition function of a one-dimensional cellular automaton
Curtis–Hedlund–Lyndon_theorem
Algorithm in theoretical computer science
states Q = { q0, q1, q2 }, the input alphabet Σ = { a, b }, the transition function δ with δ(q0,a)=q0, δ(q0,b)=q1, δ(q1,a)=q2, δ(q1,b)=q1, δ(q2
Kleene's_algorithm
Function specifying the behavior of a component in an electronic or control system
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models
Transfer_function
TRANSITION FUNCTION
TRANSITION FUNCTION
Girl/Female
Tamil
Tradition, Culture
Girl/Female
Indian
Tradition
Boy/Male
Hindu, Indian
Tradition
Boy/Male
Hindu, Indian
Tradition
Boy/Male
Tamil
Tradition, Culture
Boy/Male
Hindu, Indian
Age of Transition; New Age
Surname or Lastname
Translation of German Kohl.English
Translation of German Kohl.English : from Middle English caboche, cabage ‘cabbage’, hence a nickname or perhaps a metonymic occupational name for a cabbage grower. The Middle English word also denoted a kind of freshwater fish, and in some cases the surname may have arisen from this sense.
Girl/Female
Danish, Indian, Punjabi, Sikh
Tradition
Boy/Male
Hindu, Indian
Tradition
Boy/Male
Tamil
Transition
Girl/Female
Indian, Telugu
Tradition
Boy/Male
Hindu, Indian
Translation
Girl/Female
Hindu
Tradition, Culture
Boy/Male
Hindu, Indian
Tradition
Surname or Lastname
Translation of French Lemieux.English
Translation of French Lemieux.English : nickname from Old English bētere ‘fighter’, ‘beater’. Reaney suggests it may also be a short form of the various occupational names ending with -better, for example Leadbetter.German (Bavarian) : metonymic occupational name for a maker of rosaries, from Bavarian better ‘rosary’ (from beten ‘to pray’).
Girl/Female
Indian, Punjabi, Sikh
Earning; Tradition; Way
Boy/Male
Hindu
Transition
Girl/Female
Gaelic, Indian, Kannada
Tradition
Boy/Male
Hindu
Tradition, Culture
Girl/Female
Hindu, Indian
Tradition
TRANSITION FUNCTION
TRANSITION FUNCTION
Girl/Female
Australian, French, German, Greek, Hungarian
Violet Blossom; Violet Flower
Boy/Male
Indian, Sanskrit
Owner of Brindled Cows
Boy/Male
English
Place Name; The Meadow
Surname or Lastname
North German and Scandinavian
North German and Scandinavian : status name from Middle Low German and Danish greve, equivalent to German Graf.English : variant of Greaves.
Girl/Female
Tamil
Lightening
Boy/Male
English
Lives at the king's spring.
Boy/Male
German, Hindu, Indian, Parsi
Creeper; Vine; Weed
Boy/Male
English
Divine.
Boy/Male
Tamil
Heaven, Sky (Son of the Sun)
Female
Hebrew
(×’Ö¼Ö´× Ö¼Ö¸×”) Hebrew unisex name GINA means "garden." Compare with other forms of Gina.
TRANSITION FUNCTION
TRANSITION FUNCTION
TRANSITION FUNCTION
TRANSITION FUNCTION
TRANSITION FUNCTION
n.
Wrong translation.
n.
Dealing; transaction.
n.
One who adheres to tradition.
n.
A direct or indirect passing from one key to another; a modulation.
n.
That which is obtained by translating something a version; as, a translation of the Scriptures.
n.
Passage from one place or state to another; charge; as, the transition of the weather from hot to cold.
n.
Translation; rendering; version.
n.
A transition from one subject to another.
n.
A passing from one subject to another.
v. i.
To make a translation; to be engaged in translation.
n.
The act of translating, removing, or transferring; removal; also, the state of being translated or removed; as, the translation of Enoch; the translation of a bishop.
a.
Of or pertaining to transition; involving or denoting transition; as, transitional changes; transitional stage.
n.
Change from one form to another.
v. t.
To transmit by way of tradition; to hand down.
a.
Passing over to an object; expressing an action which is not limited to the agent or subject, but which requires an object to complete the sense; as, a transitive verb, for example, he holds the book.
a.
Transitional.
n.
The act of rendering into another language; interpretation; as, the translation of idioms is difficult.
n.
Transition.
adv.
By tradition.
n.
A wrong tradition.